(Formerly SHONDA GOSSELIN) Ph.D., M.Math., Bsc
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SHONDA DUECK (Formerly SHONDA GOSSELIN) Ph.D., M.Math., BSc. (Hons.) Curriculum Vitae CONTACT INFORMATION Department of Mathematics and Statistics University of Winnipeg 515 Portage Avenue Winnipeg, Manitoba, CANADA R3B 2E9 Office: Room 6L05 Lockhart Hall Phone: 011+1-204-786-9346 Email: [email protected] CURRENT POSITION Associate Professor, Department of Mathematics and Statistics, University of Winnipeg, July 1, 2014 - present. Adjunct Professor, Faculty of Graduate Studies and Research, University of Regina, Febru- ary 17, 2017 - February 22, 2022. PROFESSIONAL AFFILIATIONS Canadian Mathematical Society American Mathematical Society Society for Industrial and Applied Mathematics (SIAM) SIAM Activity Group on Discrete Mathematics. Prairie Network for Research in the Mathematical Sciences (PNRMS) Ottawa-Carleton Discrete Math Research Group (2006-2009) EDUCATION Ph.D. Mathematics, University of Ottawa, Ottawa, Ontario, July 2009. Thesis topic: Self- Complementary Hypergraphs. Supervisor: Dr. Mateja Sajna. Master of Mathematics, Combinatorics and Optimization, University of Waterloo, Wa- terloo, Ontario, June 2005. Thesis: Regular Two-Graphs and Equiangular Lines. Supervisor: Dr. Chris Godsil. Bachelor of Science (Honours), Mathematics and Statistics, University of Winnipeg, Win- nipeg, Manitoba, June 2003. Thesis: Chip-Firing Games on Graphs. Supervisor: Dr. James Currie. AWARDS AND DISTINCTIONS Faculty Level - University of Winnipeg: Merit Award for academic year 2011-2012. Merit Award for academic year 2010-2011. Merit Award for academic year 2009-2010. Doctoral Level - University of Ottawa: Postdoctoral Fellowship, National Science and Engineering Research Council (NSERC), 2009. (declined in favour of tenure-track offer at UW). Postgraduate Scholarship - Doctoral (PGS D), NSERC, 2006-2008. University of Ottawa Excellence Scholarship, 2006-2008. University of Ottawa Graduate Admission Scholarship in Science and Engineering (PhD), 2008. Master's Level - University of Waterloo: Postgraduate Scholarship - Doctoral (PGS D), National Science and Engineering Research Council (NSERC), 2005. Provost's graduate scholarship, Faculty of Mathematics, 2004-2005. Canada Graduate Scholarship - Masters (CGS M), NSERC, 2003-2005. Undergraduate Level - University of Winnipeg: Governor General's Silver Medal for highest standing in an undergraduate program, 2003. Chancellor's Gold Medal for highest standing in Science, 2003. University Gold Medal in Mathematics, 2003. Two undergraduate summer research awards (USRA), NSERC, 2002, 2001. Dr. Arnold Rogers Scholarship for academic excellence, 2002-2003. H.V. Rutherford Scholarship for research, 2002-2003. Lawson Scholarship in Mathematics, 2001-2002. Isbister Undergraduate Scholarship, 2001-2002. Two university academic proficiency scholarships, 2001-2003. Mathematics Access and Excellence Award, 2000-2001. PREVIOUS RESEARCH POSITIONS Summer Research Assistant, Department of Mathematics and Statistics, University of Winnipeg, May-August 2003. Project Title: The partition dimension of Cayley digraphs. Supervisor: Ortrud Oellermann. NSERC USRA Summer Research Position, Department of Mathematics and Statistics, University of Winnipeg, May-August 2002. Project Title: The metric dimension of Cayley digraphs. Supervisor: Ortrud Oellermann. NSERC USRA Summer Research Position, Department of Mathematics and Statistics, University of Winnipeg, May-August 2001. Project Title: Minimum dominating sets in graphs. Supervisors: John Ginsburg and James Currie. 2 RESEARCH INTERESTS Algebraic graph theory The action of groups on combinatorial structures Self-complementary and q-complementary graphs and hypergraphs Algebraic hypergraph decompositions Large sets of combinatorial designs Hamiltonian Cayley digraphs Metric and partition dimension of hypergraphs RESEARCH FUNDING 2019, University of Winnipeg Major Research Grant. Almost t-complementary and regular t-complementary uniform hypergraphs, $7377. 2019, University of Winnipeg Travel Grant. Almost t-complementary uniform hypergraphs, The 7th biennial Canadian Discrete and Algorithmic Mathematics Conference (CanaDAM), May 28-31, 2019, at Simon Fraser University, Vancouver. $1000. 2016, University of Winnipeg Travel Grant. The metric dimension of circulant graphs and their Cartesian products, Coast Combinatorics Conference, February 13-16, 2017, Kailua-Kona, Hawaii. $1500. 2015, University of Winnipeg Major Research Grant. The metric dimension of Cayley graphs and hypergraphs, $7375.20. 2013, Career Focus Manitoba - Wage Subsidy. Supported summer undergraduate research student Adam Borchert, May-August 2013. Project Title: The Metric and Partition Dimen- sion of Hypergraphs. $900. 2012, University of Winnipeg Travel Grant. Algebraic Hypergraph Decompositions, Coast Com- binatorics Conference, February 18-21, 2013, Kailua-Kona, Hawaii. $2000. 2011, University of Winnipeg Major Research Grant. Hamiltonian Cayley Digraphs, $5000. 2011, Career Focus Manitoba - Wage Subsidy. Supported summer undergraduate research student Yizhe Zeng, May-August 2011. Project Title: Hamiltonian Cayley Digraphs. $900. 2011, University of Winnipeg Travel Grant. Regular or vertex-transitive q-complementary hyper- graphs and Paley uniform hypergraphs. Third Canadian Discrete and Algorithmic Mathematics Conference (CanaDAM), May 31-June 3, 2011, University of Victoria, Victoria, BC. $1000. 2010, Career Focus Manitoba - Wage Subsidy. Supported summer undergraduate research student Grant Andruchuk, May-August 2010. Project Title: Hamiltonian Cycles in Cayley Digraphs. $900. 2010, University of Winnipeg Travel Grant. Presented Cyclically t-complementary uniform 3 hypergraphs at the SIAM Conference on Discrete Math, June 14-17, Austin, Texas, $1000. 2009-2010, University of Winnipeg Major Research Grant, Cyclically t-complementary uni- form hypergraphs, $5000. 2009, University of Winnipeg Start-Up Grant, Cyclically t-complementary uniform hypergraphs, $5000. PUBLICATIONS Published in Refereed Journals Dilbarjot, Shonda Dueck. Cyclic partitions of complete and almost complete uniform hyper- graphs. Discussiones Mathematicae Graph Theory, in press (2020). https://doi.org/10.7151/dmgt.2303 S. Gosselin. Almost t-complementary uniform hypergraphs. Aequationes Mathematicae (2019), http://link.springer.com/article/10.1007/s00010-018-0631-y K. Chau and S. Gosselin. The metric dimension of circulant graphs and their Cartesian prod- ucts. Opuscula Mathematica, 37, no. 4 (2017), 509-534. A. Borchert and S. Gosselin, The metric dimension of circulant graphs and Cayley hyper- graphs. Utilitas Mathematics 106 (2018), 125-147. S. Gosselin, A. Szyma´nskiand A.P. Wojda, Cyclic partitions of complete nonuniform hyper- graphs and complete multipartite hypergraphs. Discrete Mathematics & Theoretical Computer Science, 15, no. 2 (2013), pp. 215-222. G. Andruchuk and S. Gosselin, A note on Hamiltonian circulant digraphs of outdegree three. Open Journal of Discrete Mathematics, 2 (2012), pp 160-163. G. Andruchuk, S. Gosselin and Y. Zeng, Hamiltonian Cayley digraphs on direct products of dihedral groups. Open Journal of Discrete Mathematics, 2 (2012), pp 88-92. S. Gosselin. Self-complementary non-uniform hypergraphs. Graphs and Combinatorics, 28 (2012), no. 5, pp. 615-635. S. Gosselin. Constructing regular self-complementary uniform hypergraphs. Journal of Com- binatorial Designs, 19 (2011) pp 439-454. S. Gosselin. Vertex-transitive q-complementary uniform hypergraphs. Electronic Journal of Combinatorics, 18 (2011), no. 1, Research Paper 100, 19 pp. S. Gosselin. Cyclically t-complementary uniform hypergraphs, European Journal of Combi- natorics, 31 (2010), 1629-1636. 4 S. Gosselin. Generating self-complementary uniform hypergraphs. Discrete Math. 310 (2010), pp. 1366-1372. S. Gosselin. Vertex-transitive self-complementary uniform hypergraphs of prime order. Dis- crete Math. 310 (2010), pp. 671-680. M. Fehr, S. Gosselin and O. Oellermann. The partition dimension of Cayley digraphs. Ae- quationes Mathematicae, 71 (2006), pp. 1-18. M. Fehr, S. Gosselin and O. Oellermann. The metric dimension of Cayley digraphs. Dis- crete Math., 306 (2006), pp. 31-41. PRESENTATIONS Invited Conference Presentations, Lectures, Workshops and Seminars The metric dimension of circulant graphs and Cayley hypergraphs, Prairie Discrete Mathe- matics Workshop, June 12, 2018, Brandon University, Brandon, Manitoba. The metric dimension of circulant graphs and Cayley hypergraphs, University of Manitoba Combinatorics Seminar, March 9, 2018, Winnipeg, Manitoba. The metric dimension of circulants and their Cartesian products, 26th Coast Combinatorics Conference, February 15, 2017, King Kamehameha's Kona Beach Hotel, Kailua-Kona, Hawaii, USA. The metric dimension of circulant graphs, Canadian Mathematical Society Summer Meeting, June 24-27, 2016, University of Alberta, Edmonton, Alberta. Constructing Hypergraph Decompositions, Ottawa-Carleton Discrete Math Days, May 26-27, 2016, Carleton University, Ottawa, Ontario. Cyclic hypergraph decompositions, Canadian Discrete and Algorithmic Mathematics Conference (CanaDAM), Minisymposium: Cycles in Graphs II. Organizers: Ortrud Oellermann and David Gunderson. May 31 - June 4, 2015, University of Saskatchewan, Saskatoon, Saskatchewan. Metric Dimension of circulant graphs and Cayley hypergraphs, CMS Summer Meeting, Ses- sion: Graphs and Hypergraphs , June 6-9, 2014, Delta Hotel, Winnipeg, Manitoba. Algebraic Hypergraph Decompositions. Canadian Discrete and Algorithmic Mathematics Con- ference (CanaDAM),